GCD of 588, 272, 724, 238 Calculator

Given Input numbers are 588, 272, 724, 238

In the factoring method, we have to find the divisors of all numbers

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (588, 272, 724, 238) = 2.

Given numbers are 588, 272, 724, 238

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 724 are 2 x 2 x 181

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 588, 272, 724, 238 is 2.

Given numbers are 588, 272, 724, 238

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(588, 272) = 39984

GCD(588, 272) = ( 588 x 272 ) / 39984

= 588 / 272

= 588

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

= 4 / 238

= 4

So, Greatest Common Divisor of 588, 272, 724, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 715, 120, 561
• GCD of 448, 464, 147, 672
• GCD of 725, 649, 884, 428
• GCD of 381, 107, 657, 499
• GCD of 633, 888, 253, 268

Given numbers are 588, 272, 724, 238
The greatest common divisor of numbers 588, 272, 724, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 272, 724, 238 is 2.

1. What is the GCD of 588, 272, 724, 238?

GCD of given numbers 588, 272, 724, 238 is 2

2. How to calculate the greatest common divisor of 588, 272, 724, 238?

We can find the highest common divisor of 588, 272, 724, 238 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 588, 272, 724, 238 i.e 2.

3. How can I use the GCD of 588, 272, 724, 238Calculator?

Out the numbers 588, 272, 724, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.